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Prescribing eigenvalues of the Dirac operator
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0002-9184-1467
2005 (English)In: Manuscripta mathematica, ISSN 0025-2611, E-ISSN 1432-1785, Vol. 118, no 2, 191-199 p.Article in journal (Refereed) Published
Abstract [en]

In this note we show that every compact spin manifold of dimension <= 3 can be given a Riemannian metric for which a finite part of the spectrum of the Dirac operator consists of arbitrarily prescribed eigenvalues with multiplicity 1.

Place, publisher, year, edition, pages
2005. Vol. 118, no 2, 191-199 p.
Keyword [en]
harmonic spinors, generic metrics, manifolds
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-15089DOI: 10.1007/s00229-005-0583-0ISI: 000232415900005Scopus ID: 2-s2.0-26444441370OAI: oai:DiVA.org:kth-15089DiVA: diva2:333130
Note
QC 20100525 QC 20111114Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2017-12-12Bibliographically approved

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Dahl, Mattias

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